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10122020000129 is a prime number
BaseRepresentation
bin1001001101001011011101…
…1010000001000110000001
31022211122200222101111120102
42103102313122001012001
52311314344110001004
633305554121052145
72063202043261022
oct223226732010601
938748628344512
1010122020000129
1132527a7456134
121175870027055
1358566b9a042b
1426dca0858c49
1512846c40c11e
hex934b7681181

10122020000129 has 2 divisors, whose sum is σ = 10122020000130. Its totient is φ = 10122020000128.

The previous prime is 10122020000087. The next prime is 10122020000171. The reversal of 10122020000129 is 92100002022101.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10122020000087) and next prime (10122020000171).

It can be written as a sum of positive squares in only one way, i.e., 8787382779904 + 1334637220225 = 2964352^2 + 1155265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122020000129 is a prime.

It is a super-2 number, since 2×101220200001292 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10122020000129.

It is not a weakly prime, because it can be changed into another prime (10122020090129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061010000064 + 5061010000065.

It is an arithmetic number, because the mean of its divisors is an integer number (5061010000065).

Almost surely, 210122020000129 is an apocalyptic number.

It is an amenable number.

10122020000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122020000129 is an equidigital number, since it uses as much as digits as its factorization.

10122020000129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10122020000129 in words is "ten trillion, one hundred twenty-two billion, twenty million, one hundred twenty-nine", and thus it is an aban number.